Question

分解因式mn(m-n)-m(n-m)^2 详细过程和解答

Answer 1

展开mn(m-n)-m(n-m)^2
=m^2*n-m*n^2-m*n^2+2m^2*n-m^3
=m*n^2-2m*n^2+2m^2*n-m^3
=m^2(n-m)-2mn(n-m)
=m(n-m)(m-2n)

追问

有别的解答方法么？

追答

有，提公因式m(m-n)
得m（m-n）[n-(m-n)]=m(m-n)(2n-m)